1. Goal: Explore and describe the densities of various materials through measurement of their masses and volumes.

2. Volume- ml (milliliters) or cm3
Measurements
Mass – (g) grams
Volume- ml (milliliters) or cm3
Density – g/ml or g/cm3
Equations
Density = mass (g)
Volume (ml or cm3)
Volume = Mass (g)
Density
Mass = Density x Volume
DENSITY PROBLEMS
Solve the following problems showing all your work including equations and units.

3. 1. Calculate the density : The object has a mass of 15 grams and the volume is 10 ml.

4. 2. Calculate the density : The object has a mass of 16 grams and the volume is 18 ml.

5. 3. Calculate the density of a piece of metal
3. Calculate the density of a piece of metal. The rectangular piece of solid metal has the dimensions of 2cm H, 3 cm L, and 2 cm W. The metal has a mass of 35 grams.

6. 4. Calculate the density of a piece of metal
4. Calculate the density of a piece of metal. The rectangular piece of solid metal has the dimensions of 2cm H, 2cm L, and 2cm W. The unidentified metal has a mass of 30 grams.

7. 5. Calculate the density of a piece of metal
5. Calculate the density of a piece of metal. The rectangular piece of solid metal has the dimensions of 2 cm, 3 cm, and 2 cm. The unidentified metal has a mass of 20 grams.

8. 6. A solid has a mass of g and is placed into a graduated cylinder with an initial volume of 49.8 mL. The volume of the water rises to 71.3 mL. What is the density of the solid?

9. 7. If an object with a mass of 40 g is placed in a graduated cylinder with a water level of 30 ml and the water goes up to 40 ml, what is its density?

10. 8. An irregular object with a mass of 18,000 g displaces 2,500 mL of water when placed in a large overflow container. Calculate the density of the object.

11. 9. A solid has a mass of 31.2 g and is placed into a graduated cylinder with an initial volume of 25.3 mL. The volume of the water rises to 29.3 mL. What is the density of the solid?

12. 10. Calculate the density for the following object
10. Calculate the density for the following object. If you know that the object has a mass of 18 grams and the volume of the liquid alone is 10 ml and the volume of the liquid plus the object is 13 ml.

13. 11. Calculate the density of a liquid in a beaker
11. Calculate the density of a liquid in a beaker. The beaker has a mass of 15 grams when empty. The beaker plus an unknown liquid has a mass of 45 grams. What is the density of the liquid if its volume is 10 mL?

14. 12. A liquid is placed in a graduated cylinder that has a mass of 40
12. A liquid is placed in a graduated cylinder that has a mass of 40.3 g. The liquid and cylinder have a mass of 80.3 g. The volume of the liquid is 20 ml. What is its density?

15. 13. Calculate the density of a liquid in a beaker
13. Calculate the density of a liquid in a beaker. The beaker has a mass of 25 grams when empty. The beaker plus an unknown liquid has a mass of 58 grams. What is the density of the liquid if its volume is 36.6 mL?

16. 14. Calculate the density of a liquid in a beaker
14. Calculate the density of a liquid in a beaker. The beaker has a mass of 7.5 grams when empty. The beaker plus an unknown liquid has a mass of 22.5 grams. What is the density of the liquid if its volume is 15 mL?

17. 15. A graduated cylinder has a mass of 80 g when empty
15. A graduated cylinder has a mass of 80 g when empty. When 20 mL of water is added, the graduated cylinder has a mass of 100 g. If a stone is added to the graduated cylinder, the water level rises to 45 mL and the total mass is now 156 g. What is the density of the stone? 

18. 16. Below the dark circles represent particles of matter (all the same mass). Which box below has the greatest density? (analyze the two columns separately)

19. 17. (In the boxes All the same size) below the dark circles represent particles of matter (all the same mass). Which box below has the greatest density?

20. 18. Calculate the volume for the following object
18. Calculate the volume for the following object. If you know that the object has a mass of 19 grams and the density is 12 g/ml.

21. 19. Calculate the mass for the following object
19. Calculate the mass for the following object. If you know that the object has a density of 18 g/ml and the volume is 5 ml

22. 20. Calculate the density of a liquid in a beaker
20. Calculate the density of a liquid in a beaker. The beaker has a mass of 15 grams when empty. The beaker plus an unknown liquid has a mass of 48 grams. What is the density of the liquid if its volume is 10 mL?

23. 21. Calculate the volume for the following object If you know that the object has a mass of 33 grams and the density is 12 g/ml.

24. 22. Calculate the mass for the following object
22. Calculate the mass for the following object. If you know that the object has a density of 32 g/ml and the volume is 5 ml.

25. 23. Calculate the density of a liquid in a beaker
23. Calculate the density of a liquid in a beaker. The beaker has a mass of 15 grams when empty. The beaker plus an unknown liquid has a mass of 62 grams. What is the density of the liquid if its volume is 10 mL?

26. 24. Calculate the density for the following object
24. Calculate the density for the following object. If you know that the object has a mass of 20 grams and the volume is 10 ml.
Calculate the volume for the following object If you know that the object has a mass of 17 grams and the density is 12 g/ml.

27. 25. Calculate the mass for the following object
25. Calculate the mass for the following object. If you know that the object has a density of 18 g/ml and the volume is 5 ml.
Calculate the density of a liquid in a beaker. The beaker has a mass of 15 grams when empty. The beaker plus an unknown liquid has a mass of 20 grams. What is the density of the liquid if its volume is 10 mL?

28. 26. Calculate the mass of a liquid with a density of 3
26. Calculate the mass of a liquid with a density of 3.2 g/mL and a volume of 25 mL.
(answer = 80 g)

29. 27. Calculate the density of a 500 g rectangular block with the following dimensions: length=8 cm, width=6 cm, height=5 cm.
(answer = 2.1 g/cm3)

30. 29. Calculate the mass of a solid metal cylinder with a density of 2
29. Calculate the mass of a solid metal cylinder with a density of 2.6 g/cm3, a diameter of 1.8 cm, and a length of 4 cm.
(answer = 26.5 g)

31. 28. An irregular object with a mass of 18 kg displaces 2
28. An irregular object with a mass of 18 kg displaces 2.5 L of water when placed in a large overflow container. Calculate the density of the object.
(answer = 7.2 kg/L or 7.2 g/mL or 7.2 g/cm3)

32. 30. A graduated cylinder has a mass of 80 g when empty
30. A graduated cylinder has a mass of 80 g when empty. When 20 mL of water is added, the graduated cylinder has a mass of 100 g. If a stone is added to the graduated cylinder, the water level rises to 45 mL and the total mass is now 156 g. What is the density of the stone?
(answer = 2.24 g/mL or 2.24 g/cm3)